A042437 Denominators of continued fraction convergents to sqrt(746).

1, 3, 16, 115, 131, 246, 377, 623, 1000, 1623, 12361, 63428, 202645, 11006258, 33221419, 177113353, 1273014890, 1450128243, 2723143133, 4173271376, 6896414509, 11069685885, 17966100394, 136832388643, 702128043609, 2243216519470, 121835820094989

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11069686, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 11069686*a(n-13) + a(n-26) for n>25. - Vincenzo Librandi, Jan 22 2014

Mathematica

Denominator[Convergents[Sqrt[746], 30]] (* Vincenzo Librandi, Jan 22 2014 *)

Crossrefs

Cf. A040718, A042436.

Sequence in context: A368510 A074523 A329113 * A324514 A334786 A159606

Adjacent sequences: A042434 A042435 A042436 * A042438 A042439 A042440

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 22 2014

Status

approved